Answer:
E
Step-by-step explanation:
The problem says that triangle BDC lies in the plane k, which means that whatever angle is formed by another point beyond this plane with any of the three segments that form BDC (BD, DC, and BC) is the same as the angle formed by the line connecting the point and the plane.
Here, we're given that AD⊥DC, which means AD forms a 90° angle with DC. Then, since DC is already on the plane, we already know for sure that AD is definitely perpendicular to plane k.
Thus, the answer is E (none of these).
Hope this helps good luck!!
Answer:
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a rectangle is 48 in. It means that
48 = 2(L + W)
L + W = 48/2
L + W = 24 - - - - - - - - - 1
the length of the rectangle is 6 in greater than the width. It means that
L = W + 6
Substituting L = W + 6 into equation 1, it becomes
W + 6 + W = 24
2W + 6 = 24
2W = 24 - 6 = 18
W = 18/2 = 9
L = W + 6 = 9 + 6 = 15
Answer:
you would spend $153.60
Step-by-step explanation:
you just do $25.60x6
A childs ticket = $28 and an adult = $45
Total Cost to each family is the number of adult tickets bought multiplied by "x" PLUS the number of child tickets bought multiplied by "y"
Henson's equation = 3x + y = 163 Garcia's equation = 2x + 3y = 174
using the substitution method we need to express either x or y in terms of the other variable. In this example looking at the Henson equation it is very easy to express y in terms of x.
Rewrite the Henson equation to make y the subject y = 163 - 3x Substitute this value (163 - 3x) for "y" in the Garcia equation which now becomes
2x + 3(163 - 3x) = 174 Expand the bracket 2x + 489 - 9x = 174 -7x + 489 = 174 Add 7x and subtract 174 from both sides of the equation 315 = 7x 315/7 = x 45 = x An adult ticket costs $45 Substitute this back into the Henson equation 3 * 45 + y = 163 135 + y = 163 y = 163 - 135 = 28 A childs ticket costs $28
Check in the Garcia equation 2 * 45 + 3 * 28 = 90 + 84 = 174 = CORRECT
A childs ticket = $28 and an adult = $45
